Question

A person jogs 1/7 of a mile in 1/42 of an hour. What is the persons speed per hour?

Answer 1

`\bf \begin{array}{ccll} miles&hour\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (1)/(7)&(1)/(42)\\\\ m&1 \end{array}\implies \cfrac{(1)/(7)}{m}=\cfrac{(1)/(42)}{1}\implies \cfrac{1}{7m}=\cfrac{1}{42}\implies \cfrac{1\cdot 42}{7}=m \\\\\\ 6=m\qquad \qquad \qquad \qquad \qquad \cfrac{6m}{1h}\implies 6(m)/(h)`

Answer 2

His speed is 6 miles per hour.

Explanation:

Given,

The total distance covered by the person =
`(1)/(7)` a miles,

Time taken by him =
`(1)/(42)` an hour,

We know that,

`Speed = (Distance)/(Time)`

Hence, the speed of the person =
`(1/7)/(1/42)`

`=(42)/(7)`

`=6\text{ miles per hour}`